Algebra 1 Review

Foundations of Algebra

100

Solve.

2(5-8) + 3

-3

200

Solve.

3² - 7 * 4

-19

300

Simplify.

6z + 8 + 2z² - 3z + z²

3z² + 3z + 8

400

Let f(x) = -2x + 1

Find f(-3)

7

500

Let f(x) = x² - 3x + 11

Find f(6)

29

Linear Equations

100

Solve.

4 + x = 18

x = 14

200

Solve.

3 - x = 24

x = -21

300

Solve.

11a - 3 = 41

a = 4

400

Solve.

4x - 2 = 7x +19

x = -7

500

Solve.

5(x - 8) = 4x - 46

x = -6

Inequalities

100

Simplify and graph.

5 > x

x < 5

200

Simplify and graph.

-6y > -42

y < 7

300

Simplify and graph.

5x - 2 >= 23

x >= 5

400

Simplify and graph.

9x + 1 > 6x -17

x > 6

500

Simplify and graph.

6(x - 1/2) + 13 <= 34

x <= 4

Systems of Equations

100

Solve for x, y.

 x + y = 2

-x + y = 4

(-1, 3)

200

Solve for x, y

  -y + x = 6

-3x + y = 2

(-4, -10)

300

Solve for x, y.

6x − 12y = 24

−x − 6y = 4

(2, -1)

400

Solve for x, y.

−16y = 22 + 6x

−11y − 4x = 15

(-1, -1)

500

Solve for x, y.

−16 + 20x − 8y = 0

36 = −18y − 22x

(0, -2)

Factoring

100

Factor.

7x - 28

7(x - 4)

200

Factor.

x² + 9x + 14

(x + 2)(x + 7)

300

Factor. 

5xy - 40x²y + 10x²y²

5xy(1 - 8x + 2xy)

400

Factor.

6x² + 5x - 6

(2x + 3)(3x - 2)

500

Factor.

10x² - x - 21

(5x + 7)(2x - 3)